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Finding the Fourth Proportional to 1,117.65, 1,542.23 and 645.55

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Solution

The fourth proportional to 1,117.65, 1,542.23 and 645.55 is: 890.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,117.65 : 1,542.23 = 645.55 : x
  2. Step 2: Convert to fraction form
    1,117.65/1,542.23 = 645.55/x
  3. Step 3: Cross multiply
    1,117.65x = 1,542.23 × 645.55
  4. Step 4: Simplify right side
    1,117.65x = 995,581.91
  5. Step 5: Solve for x
    x = 995,581.91/1,117.65
  6. Step 6: Final answer
    x = 890.78

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.